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Finding the Fourth Proportional to 39,636, 59,445 and 11,548.80

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Solution

The fourth proportional to 39,636, 59,445 and 11,548.80 is: 17,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,636 : 59,445 = 11,548.80 : x
  2. Step 2: Convert to fraction form
    39,636/59,445 = 11,548.80/x
  3. Step 3: Cross multiply
    39,636x = 59,445 × 11,548.80
  4. Step 4: Simplify right side
    39,636x = 686,518,416
  5. Step 5: Solve for x
    x = 686,518,416/39,636
  6. Step 6: Final answer
    x = 17,320.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.